# Singular matrix

A **singular matrix** is a square matrix which is not invertible.[1] Alternatively, a matrix is singular if and only if it has a determinant of 0.[1] When an matrix is taken to represent a linear transformation in *n*-dimensional Euclidean space, it is singular if and only if it maps any *n*-dimensional hypervolume to a *n*-dimensional hypervolume of zero volume.

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